The most glaring fundamental omission of physics absolutely comes from everyday life. It is subjective experience, consciousness, qualia, or whatever you prefer to call it.
Subjective experience is an emergent property of fundamental physics. It is not fundamental in itself and it doesn't seem to require any new fundamental physics. If you think that some new fundamental physical law is needed, then maybe you can explain what it does by describing what would happen if we removed it from the universe? Would people stop dead? Would people behave completely normally except they would answer "no" when asked "are you conscious?"